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Finding the Third Proportional to 19,467 and 30,503.25

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Solution

The third proportional to 19,467 and 30,503.25 is: 47,796.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,467 : 30,503.25 = 30,503.25 : x
  2. Step 2: Convert to fraction form
    19,467/30,503.25 = 30,503.25/x
  3. Step 3: Cross multiply
    19,467x = 30,503.25 × 30,503.25
  4. Step 4: Simplify right side
    19,467x = 930,448,260.56
  5. Step 5: Solve for x
    x = 930,448,260.56/19,467
  6. Step 6: Final answer
    x = 47,796.18

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.